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Simplifying 5x + 24 = 7x + -12 Reorder the terms: 24 + 5x = 7x + -12 Reorder the terms: 24 + 5x = -12 + 7x Solving 24 + 5x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + 5x + -7x = -12 + 7x + -7x Combine like terms: 5x + -7x = -2x 24 + -2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -2x = -12 + 0 24 + -2x = -12 Add '-24' to each side of the equation. 24 + -24 + -2x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -12 + -24 -2x = -12 + -24 Combine like terms: -12 + -24 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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